GCD of 898, 689, 450, 138 Calculator

Given Input numbers are 898, 689, 450, 138

In the factoring method, we have to find the divisors of all numbers

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (898, 689, 450, 138) = 1.

Given numbers are 898, 689, 450, 138

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 689 are 13 x 53

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 138 are 2 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 898, 689, 450, 138

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(898, 689) = 618722

GCD(898, 689) = ( 898 x 689 ) / 618722

= 898 / 689

= 898

Step2:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 898, 689, 450, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 886, 660, 945
• GCD of 669, 965, 779, 974
• GCD of 804, 383, 716, 278
• GCD of 780, 956, 797, 974
• GCD of 897, 749, 160, 182

Given numbers are 898, 689, 450, 138
The greatest common divisor of numbers 898, 689, 450, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 689, 450, 138 is 1.

1. What is the GCD of 898, 689, 450, 138?

GCD of given numbers 898, 689, 450, 138 is 1

2. How to calculate the greatest common divisor of 898, 689, 450, 138?

We can find the highest common divisor of 898, 689, 450, 138 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 898, 689, 450, 138 i.e 1.

3. How can I use the GCD of 898, 689, 450, 138Calculator?

Out the numbers 898, 689, 450, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.